Good evening, I need to build the cheapest amplifier possible knowing Rin, Rch, Vin <= 1 mV, Vout = 12 V and the simplified datasheet of four differents op-amps:

Here is my book's answer:

It is claimed that:

A non-inverting first stage is chosen so that the input impedance of the circuit is equal to that of the op-amp. to that of the op-amp

I don't understand that need. Maybe it has a link with impedance matching ? Yet, the impedance matching rule for tension is R2 >> R1, not R2 = R1 (which is for power matching).

Could I have drawn the circuit below ?

Thank you in advance, have a nice evening.

NB: This is my very first question in Electrical SE, don't hesitate to tell me if I made some mistakes.

I need to build the cheapest amplifier possible knowing Rin, Rch, Vin <= 1 mV, Vout = 12 V and the simplified datasheet of four differents op-amps:

Here is my book's answer:

It is claimed that:

A non-inverting first stage is chosen so that the input impedance of the circuit is equal to that of the op-amp. to that of the op-amp

I don't understand that need. Maybe it has a link with impedance matching ? Yet, the impedance matching rule for tension is R2 >> R1, not R2 = R1 (which is for power matching).

Could I have drawn the circuit below ?